Generalization of the Kaplan-Meier estimator for fuzzy lifetimes

  • José A. González C. Laboratorio de investigación Lab[e]saM, Departamento de Matemática y Estadística Universidad de Playa Ancha
Keywords: fuzzy set, fuzzy number, membership function, Kaplan-Meier, asymptotic

Abstract

This proposal provides a generalization of the Kaplan-Meier estimator, where lifetimes are considered fuzzy numbers. This proposal is consistent with a much more realistic context to the measurement process considering the imprecision of human nature. To achieve our goal, concepts such as relative frequency and fuzzy classes are given. Moreover, some asymptotic results are presented, together with an application and comparison with the conventional estimation method.

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Published
2016-12-28
How to Cite
González C., J. A. (2016). Generalization of the Kaplan-Meier estimator for fuzzy lifetimes. Divulgaciones Matemáticas, 17(2), 43-56. Retrieved from https://produccioncientificaluz.org/index.php/divulgaciones/article/view/31367